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k-ε模型 1

代数应力湍流模型 1

各向异性 1

扩散输移 1

污染物 1

线性二次最优；编队控制；代数里卡蒂方程；最优控制；多智能体系统 1

网络鲁棒性；级联故障；平均传播；代数连接度；电网 1

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Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes by Algebraic

M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI

《机械工程前沿（英文）》 2014年 第9卷 第1期   页码 58-70 doi: 10.1007/s11465-014-0289-7

摘要：

In the current paper, a simplified model of Tower Cranes has been presented in order to investigate and analyze the nonlinear differential equation governing on the presented system in three different cases by Algebraic Method (AGM). Comparisons have been made between AGM and Numerical Solution, and these results have been indicated that this approach is very efficient and easy so it can be applied for other nonlinear equations. It is citable that there are some valuable advantages in this way of solving differential equations and also the answer of various sets of complicated differential equations can be achieved in this manner which in the other methods, so far, they have not had acceptable solutions. The simplification of the solution procedure in Algebraic Method and its application for solving a wide variety of differential equations not only in Vibrations but also in different fields of study such as fluid mechanics, chemical engineering, etc. make AGM be a powerful and useful role model for researchers in order to solve complicated nonlinear differential equations.

关键词： Algebraic Method (AGM)     tower crane     oscillating system     angular frequency    

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曲线坐标下平面二维污染物扩散输移的代数应力湍流模型

吴修广,沈永明,王敏,杨志峰

《中国工程科学》 2005年 第7卷 第7期   页码 60-64

摘要：

对浅水流动的控制方程和深度平均的污染物扩散输移的控制方程进行坐标变换，湍流的模拟采用各向异性代数应力湍流模式，建立了曲线坐标下平面二维水流计算和污染物扩散输移的代数应力湍流模型。采用具有浓度实测值的实验室连续弯道进行模型验证，对本模型计算的浓度分布与k-ε模型进行比较，结果显示了本模型在处理各向异性明显优于k-ε模型。

关键词： 污染物     扩散输移     各向异性     代数应力湍流模型     k-ε模型    

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Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

《机械工程前沿（英文）》 2008年 第3卷 第1期   页码 91-96 doi: 10.1007/s11465-008-0013-6

摘要： For reconfigurable robots, the automatic generation of inverse kinematics is a key problem, because such robots may assume various configurations. In this paper, the screw and product-of-exponentials (POE) formula are used to model the kinematics of reconfigurable robots. The POE formula can be converted to canonical subproblems through decomposition and adjoint transformation. Three classes and 28 types of subproblems containing geometric or algebraic solutions are identified and solved, which can be reused in different configurations. A generalized, decomposable, and reusable approach for close-form inverse kinematics of reconfigurable robots is developed based on POE and subproblems. The effectiveness of this method is shown in an example.

关键词： different     effectiveness     generation     reconfigurable     algebraic    

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Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

null

《机械工程前沿（英文）》 2014年 第9卷 第2期   页码 177-190 doi: 10.1007/s11465-014-0288-8

摘要：

In the present paper, three complicated nonlinear differential equations in the field of vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and solved completely by Algebraic Method (AGM). Investigating this kind of equations is a very hard task to do and the obtained solution is not accurate and reliable. This issue will be emerged after comparing the achieved solutions by numerical method (Runge-Kutte 4th). Based on the comparisons which have been made between the gained solutions by AGM and numerical method, it is possible to indicate that AGM can be successfully applied for various differential equations particularly for difficult ones. The results reveal that this method is not only very effective and simple, but also reliable, and can be applied for other complicated nonlinear problems.

关键词： Algebraic Method (AGM)     Angular Frequency     Vanderpol     Rayleigh     Duffing    

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通过最小化边缘添加中的代数连接度来减少电网级联故障传播 Research Articles

Supaporn LONAPALAWONG1,颜姜哲2,李家雨3,叶德仕2,陈为1,汤涌4,黄彦浩4,王灿2

《信息与电子工程前沿（英文）》 2022年 第23卷 第3期   页码 382-397 doi: 10.1631/FITEE.2000596

摘要： 在各种情况下分析网络鲁棒性通常被认为是一个具有挑战性的问题。应对故障的鲁棒性是大型动态网络系统（如电力网、运输系统、通信系统和计算机网络）的基本特性之一。由于网络的多样性和复杂性，人们已提出许多拓扑特征以捕获系统特定属性。对于电网，通过拓扑设计提高网络结构鲁棒性是常见做法。然而，大多数现有方法集中于局部网络度量，例如节点连接度和边连接度，而非从全局视角看待电网中的级联传播。本文使用信息量大的全局度量代数连接度，因为它对谱图的全局连接度敏感。我们通过最小化代数连接度的增量以减少电网中的平均传播。提出一种基于拓扑的贪婪策略，以优化电网鲁棒性。为评估网络鲁棒性，使用MATCASC计算电网中级联故障中断的平均传播。实验结果表明，所提方法优于现有技术。

关键词： 网络鲁棒性；级联故障；平均传播；代数连接度；电网    

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基于线性二次最优化的多智能体编队控制

Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com

《信息与电子工程前沿（英文）》 2016年 第17卷 第2期   页码 96-109 doi: 10.1631/FITEE.1500490

摘要： 目的：随着空间技术和计算机技术的发展，空间飞行器协作控制越来越受到重视。多智能体编队控制是研究这一类问题的基础。本文研究了三种情况下单积分器多智能体系统基于线性二次最优性能指标的编队控制问题，并设计相应的控制算法保证多智能体系统在完成编队的基础上使所定义的性能指标达到最优。 创新点：针对三种不同的单积分器多智能体最优编队情况，分别提出相应的网络连接拓扑以及局部反馈矩阵；不同于其他论文不能给出网络拓扑以及局部最优反馈矩阵的具体解析解，本文给出相应的解析解，并且证明解析解与实际物理系统完全相符。 方法：应用代数图论以及矩阵理论的相关知识，针对无物理耦合的多智能体系统，通过求解代数里卡蒂方程，设计智能体之间的网络连接拓扑以及局部反馈矩阵，保证多智能体系统在完成编队的同时相应的LQR指标最优。针对有物理耦合的多智能体系统，同样通过求解代数里卡蒂方程，得到相应的网络连接拓扑以及局部反馈矩阵，保证多智能体系统在完成编队的基础上使相应的LQR指标最优；针对有物理耦合但无法设计网络拓扑的多智能体系统，将最优指标写成局部反馈增益的函数，通过求最优指标的导数，得到最优局部反馈增益。 结论：对于无物理耦合单积分器多智能体的编队问题与有物理耦合单积分器多智能体的编队问题，分别设计网络连接拓扑以及局部反馈矩阵，在多智能体系统完成编队的基础上保证相应的性能指标达到最优。对于有物理耦合但无法改变通讯网络拓扑的单积分器多智能体系统编队问题，设计最优局部反馈增益，在多智能体系统完成编队的同时保证性能指标最优。

关键词： 线性二次最优；编队控制；代数里卡蒂方程；最优控制；多智能体系统    

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标题 作者 时间 类型 操作

Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes by Algebraic

M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI

期刊论文

曲线坐标下平面二维污染物扩散输移的代数应力湍流模型

吴修广,沈永明,王敏,杨志峰

期刊论文

Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

期刊论文

Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

null

期刊论文

通过最小化边缘添加中的代数连接度来减少电网级联故障传播

Supaporn LONAPALAWONG1,颜姜哲2,李家雨3,叶德仕2,陈为1,汤涌4,黄彦浩4,王灿2

期刊论文

基于线性二次最优化的多智能体编队控制

Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com

期刊论文